Solving Quadratic Equations by Factoring and Graphing

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

Factor
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Solve the following quadratic equation...

x² + 3x + 2 = 0

• x = -1

  x = -2

• x = 1

  x = 2

• x = -1

  x = 2

• x = 1

  x = -2

What is the degree of every Quadratic Equation?

• 1

• 2

• 3

• 4

(n +7)(n + 9) = 0

• n = -7; n = 4

• n = 7; n = -9

• n = -3; n = 10

• n = -7; n = -9

Solve
x² + 9x + 20 = 0

• x = -2, x = -10

• x = -3, x = -4

• x = -4, x = -5

• x = -4, x = -6

Solve
x² + 13x + 12 = 0

• x = -1, x = -12

• x = -1, x = -24

• x = -2, x = -6

• x = -2, x = -12